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Finding the Fourth Proportional to 360.72, 540.98 and 129.60

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Solution

The fourth proportional to 360.72, 540.98 and 129.60 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 540.98 = 129.60 : x
  2. Step 2: Convert to fraction form
    360.72/540.98 = 129.60/x
  3. Step 3: Cross multiply
    360.72x = 540.98 × 129.60
  4. Step 4: Simplify right side
    360.72x = 70,111.01
  5. Step 5: Solve for x
    x = 70,111.01/360.72
  6. Step 6: Final answer
    x = 194.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.